中文摘要：

提出了一类改进的刻画Cuckoo鸟生长的时滞微分方程动力学模型，利用微分方程等有关理论完整地研究了该类动力学模型平衡点的存在性、稳定性和Hopf分支．同时，使用数值模拟检验了与理论结果的一致性．

英文摘要：

In this paper,a class of revised dynamic model is propsed to describe the evolution between Cuckoo birds and their host birds. In this model, there are age structure and time delay. The basic theory of the solutions, stability and Hopf bifurcation of the model are studied in details. At the same time, the nu- merical simulations are given to summarize the theoretical results.